Spaces with -weakly hereditarily closure-preserving sn-networks.
Sur les rétractes absolus Pn -valués de dimension finie
We prove that a k-dimensional hereditarily indecomposable metrisable continuum is not a -valued absolute retract. We deduce from this that none of the classical characterizations of ANR (metric) extends to the class of stratifiable spaces.
The hyperspace of finite subsets of a stratifiable space
It is shown that the hyperspace of non-empty finite subsets of a space X is an ANR (an AR) for stratifiable spaces if and only if X is a 2-hyper-locally-connected (and connected) stratifiable space.
The inverse image of a metric space under a biquotient compact mapping
Topological completeness of first countable Hausdorff spaces II
Topological completeness of first countable Hausdorff spaces I